SOLUTION: If Joe & Jane have a total of 40 coins consisting of nickels & dimes totaling $3.00. How many nickels & dimes do they have.

Question 54310: If Joe & Jane have a total of 40 coins consisting of nickels & dimes totaling $3.00. How many nickels & dimes do they have.

Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Let the number of dimes you have =x
Then if we subtract the dimes from the rest of the 40 coins we will have the nickels: 40-x
The amount of money that we have in coins is the worth of the coin times the number of coins, it's easier to solve these in terms of cents instead of dollars.
We have this amount of money:
In dimes:10x
In nickels:5(40-x)
All together: 300 (cents)
Your problem to solve:
10x+5(40-x)=300
10x+200-5x=300
(10-5)x+200=300
5x+200=300
5x+200-200=300-200
5x=100
5x/5=100/5
x=20
:
Dimes:
Nickels:40-x=
:
Check to see if this is true, does 20 dimes + 20 nickels=$3.00
.10(20)+.05(20)=$3.00
$2.00+$1.00=$3.00
Looks like we're right!!!
Happy Calculating!!!
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